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Finding the Fourth Proportional to 1,091.84, 1,505.76 and 976.64

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Solution

The fourth proportional to 1,091.84, 1,505.76 and 976.64 is: 1,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.84 : 1,505.76 = 976.64 : x
  2. Step 2: Convert to fraction form
    1,091.84/1,505.76 = 976.64/x
  3. Step 3: Cross multiply
    1,091.84x = 1,505.76 × 976.64
  4. Step 4: Simplify right side
    1,091.84x = 1,470,585.45
  5. Step 5: Solve for x
    x = 1,470,585.45/1,091.84
  6. Step 6: Final answer
    x = 1,346.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.